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What exactly is centrifugal force

 
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Jan30-13, 07:39 AM   #52
 

What exactly is centrifugal force


Quote by stevendaryl View Post
No, inertial forces are NOT simpler...
Then I'm sure you will soon have convinced anyone to stop using them. Let us know when all the books have been revised.
Quote by stevendaryl View Post
That's just bad mathematics. It's just not true...
It leads to the same quantitative predictions, which is all that matters in physics. The rest is philosophy.
Jan30-13, 08:34 AM   #53
 
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Quote by rcgldr View Post
Change this 2 body system to one where there are no attractive forces, and the two objects are connected by a string and rotate in a circular path about a common center of mass. Both objects exert a reactive centrifugal force on the ends of the string (assuming that the common center of mass is not located within one of the objects, in which case only one end of the string experiences a reactive centrifugal force).
Quote by Andrew Mason View Post
And how would the objects produce a centrifugal acceleration of the ends of the string?
They wouldn't. The net force on each object is inwards. The objects (and the ends of the string) are accelerated "inwards" by the tension in the string. The outwards force exerted by the objects onto the ends of the string is a reaction (to acceleration) force, not a net force, equal in magnitude and opposing the tension at the ends of the string.
Jan30-13, 08:34 AM   #54
 
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Quote by A.T. View Post
Then I'm sure you will soon have convinced anyone to stop using them. Let us know when all the books have been revised.

It leads to the same quantitative predictions, which is all that matters in physics. The rest is philosophy.
This thread reads like something out of Gulliver's Travels, actually. Anyone would think that there is some actual 'reality' in it all. People don't acknowledge that Science is the pragmatic business of predicting things - all the rest is faith.
Jan30-13, 08:49 AM   #55
 
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Just throwing in my 2 cents worth.
Quote by A.T. View Post
That is why I prefer the terms "inertial forces" and "interaction forces".
I agree with A.T. here. Fictitious forces do most things that you expect real forces to do, including do work in the non-inertial frame in which they exist.
Quote by Andrew Mason View Post
The true reaction to a centripetal force is another centripetal force.
This can be true in certain circumstances, but it is not generally true.
Quote by stevendaryl View Post
So some people would take this to mean "Newton's laws only apply in an inertial frame". I don't like that conclusion. If you view them as vector equations, then they apply in all circumstances, not just inertial frames.
Interesting idea. I was aware of this in terms of gravity in GR, but hadn't thought clearly about the advantage for Newtonian physics also. As we discussed in that other thread, I am not convinced about this because of the double-degeneracy of the metric in Newtonian physics. But I haven't looked at it closely (for that same reason).
Quote by Andrew Mason View Post
There is nothing about the "centrifugal reaction force" that causes anything to flee from the centre. Nothing.
This is simply wrong. If you look at A.T.'s little astronaut cartoon, suppose that the astronaut is standing on a section of the floor supported by bolts which can be suddenly cut. If they are suddenly cut then the reactive centrifugal force will accelerate the section of the floor away from the center. It is only the presence of the bolt forces which prevents the floor from fleeing the center under the influence of the centrifugal reaction force.
Jan30-13, 09:01 AM   #56
 
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Quote by Andrew Mason View Post
Suppose we have two spherical moons orbiting a spherical planet and both moons are directly opposite each other (ie. a line through the moons' centres passes through the planet's centre) on identical orbits. Would you say that that the reaction forces of each moon on the planet are centrifugal?
In this situation, there is no reaction force, because there is nothing to exert a reaction force onto. The only forces are gravitational. The only "outwards" force would be exerted onto the surface of the planet, but that force is due to gravity, not a reaction force. In this situation, the reaction to gravitational force is a change in the path of the moons as they orbit.

Quote by DaleSpam View Post
If you look at A.T.'s little astronaut cartoon, suppose that the astronaut is standing on a section of the floor supported by bolts which can be suddenly cut. If they are suddenly cut then the reactive centrifugal force will accelerate the section of the floor away from the center. It is only the presence of the bolt forces which prevents the floor from fleeing the center under the influence of the centrifugal reaction force.
A reactive force is a response to acceleration of an object wrt inertial frame. In an inertial frame, once the floor is cut, the astronaut and the floor cease to accelerate, so there is no reactive centrifugal force. In a rotating frame, the reactive centrifugal force also vanishes (the astronaut ceases to exert a force onto the floor), and the fictitious centrifugal force now changes in to a combination of fictitious centrifugal and coriolis forces that correspond to an object moving at constant velocity wrt inertial frame, as observed from a rotating frame.
Jan30-13, 09:03 AM   #57
 
Quote by A.T. View Post
Then I'm sure you will soon have convinced anyone to stop using them. Let us know when all the books have been revised.
There are lots of bad ideas that are taught to beginning students of physics that have to be "untaught" to advanced students. Inertial forces is one of them. "Relativistic mass" is another.

It leads to the same quantitative predictions, which is all that matters in physics. The rest is philosophy.
It doesn't lead to ANYTHING. Calling something a "force" when it's not is just bad terminology. It's not an alternative approach to doing physics.
Jan30-13, 09:10 AM   #58
 
Quote by sophiecentaur View Post
This thread reads like something out of Gulliver's Travels, actually. Anyone would think that there is some actual 'reality' in it all. People don't acknowledge that Science is the pragmatic business of predicting things - all the rest is faith.
The claim that "Science is the pragmatic business of predicting things - all the rest is faith" is itself a philosophical position, and is therefore, not science.
Jan30-13, 09:20 AM   #59
 
Quote by stevendaryl View Post
It doesn't lead to ANYTHING.
It leads to the same quantitative predictions, which is all that matters in physics. The rest is philosophy.
Jan30-13, 09:23 AM   #60
 
Quote by A.T. View Post
It leads to the same quantitative predictions, which is all that matters in physics. The rest is philosophy.
Calling something a "force" doesn't lead to ANYTHING. If you think otherwise, give an example of how something follows from the fact that you call certain terms "forces".
Jan30-13, 09:25 AM   #61
 
Quote by A.T. View Post
It leads to the same quantitative predictions, which is all that matters in physics. The rest is philosophy.
The claim that nothing matters other than quantitative predictions is itself a philosophical claim. It's funny that the people who bring up "that's just philosophy" as an argument are the ones who actually end up making the strongest philosophical claims.
Jan30-13, 09:43 AM   #62
 
Quote by stevendaryl View Post
The claim that nothing matters other than quantitative predictions...
...in physics.
Quote by stevendaryl View Post
It's funny that the people who bring up "that's just philosophy" as an argument...
The argument is "The rest is philosophy, so there is no point arguing about it on a physics forum".
Jan30-13, 09:48 AM   #63
 
Quote by A.T. View Post
The argument is "The rest is philosophy, so there is no point arguing about it on a physics forum".
But that's basically this entire thread. The physics part is nothing more than:

"If one uses noninertial, curvilinear coordinates, then additional terms appear in the equations of motion."

One sentence. Everything else is an argument for a particular way of looking at those additional terms.
Jan30-13, 09:52 AM   #64
 
Quote by stevendaryl View Post
give an example of how something follows from the fact that you call certain terms "forces".
All forces are just "certain terms". So I don't see how this is an argument against inertial forces specifically.
Jan30-13, 09:55 AM   #65
 
Quote by A.T. View Post
It leads to the same quantitative predictions, which is all that matters in physics. The rest is philosophy.
I also want to point out that connection coefficients (the preferred, in my opinion, way to deal with noninertial, curvilinear coordinates) are essential to understanding General Relativity.
Jan30-13, 09:59 AM   #66
 
Quote by A.T. View Post
All forces are just "certain terms". So I don't see how this is an argument against inertial forces specifically.
No, they're not. Real forces have certain properties that the fake forces don't:
(1) They are vector quantities, meaning that they exist in EVERY coordinate system. The components change when you change coordinate systems, but a vector is a geometric quantity that is independent of coordinates.
(2) Real forces have corresponding reaction forces, leading to conservation of momentum.

In contrast, "inertial forces" are artifacts of a particular choice of coordinates. They don't have corresponding reaction forces. They can be made to disappear by choosing the appropriate coordinate system.
Jan30-13, 10:11 AM   #67
 
Quote by rcgldr View Post
In a rotating frame, the reactive centrifugal force also vanishes (the astronaut ceases to exert a force onto the floor),
You can easily find examples where reactive centrifugal force pushes things outwards in the rotating frame. Two blocks on a turntable. An outer light one with high friction. An inner massive one on rollers. The inner block applies a centrifugal interaction force to the outer block, which pushes the outer block away from the center in the rotating frame.

But all of that is not relevant to the "centrifugal"-label for the reason I state in post #64.
Jan30-13, 10:13 AM   #68
 
Quote by stevendaryl View Post
Real forces have certain properties...
Give an example of how something follows from the fact that you call them "forces".
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